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Izvestiya: Mathematics, 2015, Volume 79, Issue 4, Pages 645–667
DOI: https://doi.org/10.1070/IM2015v079n04ABEH002756 (Mi im8163) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Pullback attractors for the model of motion of dilute aqueous polymer solutions

V. G. Zvyagin, S. K. Kondrat'ev

Voronezh State University
English version PDF (364 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/IM2015v079n04ABEH002756
Abstract: We study the qualitative dynamics of weak solutions in the non-autonomous model of motion of dilute aqueous polymer solutions using the theory of pullback attractors of trajectory spaces. We establish the existence of weak solutions for this model, define a family of trajectory spaces, introduce the notions of a trajectory pullback attractor and a minimal pullback attractor and prove the existence of these attractors.
Keywords: pullback attractors, trajectory space, dilute aqueous polymer solutions, weak solutions, existence theorems.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00041
Russian Science Foundation 14-21-00066
Ministry of Education and Science of the Russian Federation 1.1539.2014/K
This paper was written with the financial support of RFBR (grant no. 13-01-00041), the Russian Science Foundation (project no. 14-21-00066), and the Ministry of Science and Education of Russia in the sphere of scientific activity in 2014–2016 (project no. 1.1539.2014/K).
Received: 21.08.2013
Revised: 08.01.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 4, Pages 3–26
DOI: https://doi.org/10.4213/im8163
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35B41, 35D30, 35Q35, 37L05, 37L30
Language: English
Original paper language: Russian
Citation: V. G. Zvyagin, S. K. Kondrat'ev, “Pullback attractors for the model of motion of dilute aqueous polymer solutions”, Izv. RAN. Ser. Mat., 79:4 (2015), 3–26; Izv. Math., 79:4 (2015), 645–667
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:718
    Russian version PDF:176
    English version PDF:22
    References:53
    First page:35
     
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